20121112122111 has 160 divisors (see below), whose sum is σ = 40525770700800. Its totient is φ = 9608105848320.

The previous prime is 20121112122103. The next prime is 20121112122157. The reversal of 20121112122111 is 11122121112102.

It is a happy number.

20121112122111 is a `hidden beast` number, since 201 + 211 + 1 + 21 + 221 + 11 = 666.

It is not a de Polignac number, because 20121112122111 - 2³ = 20121112122103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121112122161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18859195 + ... + 19897523.

It is an arithmetic number, because the mean of its divisors is an integer number (253286066880).

Almost surely, 2^{20121112122111} is an apocalyptic number.

20121112122111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121112122111 is an abundant number, since it is smaller than the sum of its proper divisors (20404658578689).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20121112122111 is a wasteful number, since it uses less digits than its factorization.

20121112122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038611 (or 1038602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 20121112122111 its reverse (11122121112102), we get a palindrome (31243233234213).

The spelling of 20121112122111 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred eleven".